- Added solutions by Arne Sommer.

16 files changed, 1402 insertions, 1247 deletions

diff --git a/challenge-125/arne-sommer/blog.txt b/challenge-125/arne-sommer/blog.txt
new file mode 100644
index 0000000000..f6d83437e6
--- /dev/null
+++ b/challenge-125/arne-sommer/blog.txt
@@ -0,0 +1 @@
+https://raku-musings.com/pythagorean-tree.html
diff --git a/challenge-125/arne-sommer/raku/ch-1.raku b/challenge-125/arne-sommer/raku/ch-1.raku
new file mode 100644
index 0000000000..ddf46643c4
--- /dev/null
+++ b/challenge-125/arne-sommer/raku/ch-1.raku
@@ -0,0 +1,32 @@
+#! /usr/bin/env raku

+

+unit sub MAIN (Int $N where $N > 0);

+

+my $match = False;

+

+my $N2 = $N * $N;

+

+for 1 .. $N2 -> $a

+{

+  for $a .. $N2 -> $b

+  {

+    for $b + 1 .. $N2 -> $c

+    {

+      next unless any($a, $b, $c) == $N;

+

+      my $left  = $a * $a + $b * $b;

+      my $right = $c * $c;

+

+      last if $right > $left;

+	     

+      if $left == $right

+      {

+        say "($a, $b, $c)";

+	$match = True;

+      }

+    }

+  }

+}

+

+say "-1" unless $match;

+

diff --git a/challenge-125/arne-sommer/raku/ch-2.raku b/challenge-125/arne-sommer/raku/ch-2.raku
new file mode 100644
index 0000000000..2ccc0d7d29
--- /dev/null
+++ b/challenge-125/arne-sommer/raku/ch-2.raku
@@ -0,0 +1,103 @@
+#! /usr/bin/env raku

+

+unit sub MAIN (Str $tree = "1 | 2 5 | 3 4 6 7 | * * * * * * 8 10 | 9", :v(:$verbose));

+

+class BinaryNode

+{

+  has Int        $.value;

+  has BinaryNode $.left;

+  has BinaryNode $.right;

+}

+

+my @btree = $tree.split("|")>>.words;

+

+my @old-nodes;

+my @new-nodes;

+

+for @btree.reverse -> $row

+{

+  my @current = @$row;

+  @old-nodes  = @new-nodes;

+  @new-nodes  = ();

+  

+  for @current -> $value

+  {

+    if $value eq "*"

+    {

+      @new-nodes.push("*");

+      next;

+    }

+

+    my $left  = @old-nodes.shift // "*"; $left  = Nil if $left  eq "*";

+    my $right = @old-nodes.shift // "*"; $right = Nil if $right eq "*";

+

+    @new-nodes.push(BinaryNode.new(value  => $value.Int,

+                                   left   => $left  // Nil,

+                                   right  => $right // Nil)); 

+  }

+}

+

+my $btree = @new-nodes[0];

+

+# say ": { $btree.raku }" if $verbose;

+

+my %paths;

+

+traverse2($btree, ());

+

+sub traverse2 ($current, @path is copy)

+{

+  @path.push: $current.value;

+  

+  if ($current.left or $current.right)

+  {

+    traverse2($current.left,  @path) if $current.left;

+    traverse2($current.right, @path) if $current.right;

+  }

+  else

+  {

+    say ": Node: { $current.value } with path: { @path.join(", ") }"  if $verbose;

+    %paths{ $current.value } = @path;

+

+    return;

+  }

+}

+

+my $best = 0;

+

+for %paths.keys.sort -> $from

+{

+  for %paths.keys.sort -> $to

+  {

+    next if $from >= $to;

+

+    my @up   = @(%paths{$from});

+    my @down = @(%paths{$to});

+

+    say ": Path: ", @up.reverse.join(", "), ", ", @down.join(", "), " (via top)" if $verbose;

+

+    my $top;

+    while (@up[0] == @down[0])

+    {

+      $top = @up[0];

+      @up.shift;

+      @down.shift;

+    }

+

+    my @path2 = (@up.reverse, $top, @down ).flat;

+

+    my $length = @path2.elems -1;

+

+    if $length > $best

+    {

+      $best = $length;

+      say ":       ", @path2.join(", "), " (shortest) length: $length [BEST]" if $verbose;

+    }

+    else

+    {

+      say ":       ", @path2.join(", "), " (shortest) length: $length" if $verbose;

+    }

+  }

+}

+

+say $best;

diff --git a/stats/pwc-current.json b/stats/pwc-current.json
index bc559f7c4e..985e413562 100644
--- a/stats/pwc-current.json
+++ b/stats/pwc-current.json
@@ -2,14 +2,28 @@
    "drilldown" : {
       "series" : [
          {
-            "id" : "Cheok-Yin Fung",
-            "name" : "Cheok-Yin Fung",
+            "name" : "Arne Sommer",
+            "data" : [
+               [
+                  "Raku",
+                  2
+               ],
+               [
+                  "Blog",
+                  1
+               ]
+            ],
+            "id" : "Arne Sommer"
+         },
+         {
             "data" : [
                [
                   "Perl",
                   2
                ]
-            ]
+            ],
+            "id" : "Cheok-Yin Fung",
+            "name" : "Cheok-Yin Fung"
          },
          {
             "data" : [
@@ -18,8 +32,8 @@
                   2
                ]
             ],
-            "name" : "E. Choroba",
-            "id" : "E. Choroba"
+            "id" : "E. Choroba",
+            "name" : "E. Choroba"
          },
          {
             "data" : [
@@ -36,12 +50,12 @@
                   2
                ]
             ],
-            "name" : "Flavio Poletti",
-            "id" : "Flavio Poletti"
+            "id" : "Flavio Poletti",
+            "name" : "Flavio Poletti"
          },
          {
-            "id" : "James Smith",
             "name" : "James Smith",
+            "id" : "James Smith",
             "data" : [
                [
                   "Perl",
@@ -60,10 +74,11 @@
                   2
                ]
             ],
-            "name" : "Jorg Sommrey",
-            "id" : "Jorg Sommrey"
+            "id" : "Jorg Sommrey",
+            "name" : "Jorg Sommrey"
          },
          {
+            "id" : "Mark Anderson",
             "data" : [
                [
                   "Perl",
@@ -74,12 +89,10 @@
                   1
                ]
             ],
-            "name" : "Mark Anderson",
-            "id" : "Mark Anderson"
+            "name" : "Mark Anderson"
          },
          {
             "id" : "Roger Bell_West",
-            "name" : "Roger Bell_West",
             "data" : [
                [
                   "Perl",
@@ -93,17 +106,18 @@
                   "Blog",
                   1
                ]
-            ]
+            ],
+            "name" : "Roger Bell_West"
          },
          {
+            "name" : "Simon Proctor",
             "id" : "Simon Proctor",
             "data" : [
                [
                   "Raku",
                   2
                ]
-            ],
-            "name" : "Simon Proctor"
+            ]
          },
          {
             "name" : "Stuart Little",
@@ -120,7 +134,7 @@
             "id" : "Stuart Little"
          },
          {
-            "name" : "Ulrich Rieke",
+            "id" : "Ulrich Rieke",
             "data" : [
                [
                   "Perl",
@@ -131,7 +145,7 @@
                   1
                ]
             ],
-            "id" : "Ulrich Rieke"
+            "name" : "Ulrich Rieke"
          },
          {
             "data" : [
@@ -144,16 +158,21 @@
                   1
                ]
             ],
-            "name" : "W. Luis Mochan",
-            "id" : "W. Luis Mochan"
+            "id" : "W. Luis Mochan",
+            "name" : "W. Luis Mochan"
          }
       ]
    },
    "chart" : {
       "type" : "column"
    },
-   "legend" : {
-      "enabled" : 0
+   "title" : {
+      "text" : "The Weekly Challenge - 125"
+   },
+   "tooltip" : {
+      "followPointer" : 1,
+      "headerFormat" : "<span style='font-size:11px'>{series.name}</span><br/>",
+      "pointFormat" : "<span style='color:{point.color}'>{point.name}</span>: <b>{point.y:f}</b><br/>"
    },
    "plotOptions" : {
       "series" : {
@@ -164,32 +183,22 @@
          }
       }
    },
-   "subtitle" : {
-      "text" : "[Champions: 11] Last updated at 2021-08-13 14:58:19 GMT"
-   },
-   "tooltip" : {
-      "pointFormat" : "<span style='color:{point.color}'>{point.name}</span>: <b>{point.y:f}</b><br/>",
-      "followPointer" : 1,
-      "headerFormat" : "<span style='font-size:11px'>{series.name}</span><br/>"
-   },
    "yAxis" : {
       "title" : {
          "text" : "Total Solutions"
       }
    },
-   "title" : {
-      "text" : "The Weekly Challenge - 125"
-   },
-   "xAxis" : {
-      "type" : "category"
-   },
    "series" : [
       {
-         "colorByPoint" : 1,
          "data" : [
             {
-               "y" : 2,
+               "drilldown" : "Arne Sommer",
+               "y" : 3,
+               "name" : "Arne Sommer"
+            },
+            {
                "name" : "Cheok-Yin Fung",
+               "y" : 2,
                "drilldown" : "Cheok-Yin Fung"
             },
             {
@@ -198,18 +207,18 @@
                "y" : 2
             },
             {
-               "name" : "Flavio Poletti",
                "y" : 6,
+               "name" : "Flavio Poletti",
                "drilldown" : "Flavio Poletti"
             },
             {
                "drilldown" : "James Smith",
-               "name" : "James Smith",
-               "y" : 3
+               "y" : 3,
+               "name" : "James Smith"
             },
             {
-               "name" : "Jorg Sommrey",
                "y" : 2,
+               "name" : "Jorg Sommrey",
                "drilldown" : "Jorg Sommrey"
             },
             {
@@ -218,9 +227,9 @@
                "drilldown" : "Mark Anderson"
             },
             {
-               "y" : 4,
+               "drilldown" : "Roger Bell_West",
                "name" : "Roger Bell_West",
-               "drilldown" : "Roger Bell_West"
+               "y" : 4
             },
             {
                "drilldown" : "Simon Proctor",
@@ -228,9 +237,9 @@
                "y" : 2
             },
             {
-               "drilldown" : "Stuart Little",
+               "y" : 4,
                "name" : "Stuart Little",
-               "y" : 4
+               "drilldown" : "Stuart Little"
             },
             {
                "name" : "Ulrich Rieke",
@@ -238,12 +247,22 @@
                "drilldown" : "Ulrich Rieke"
             },
             {
+               "drilldown" : "W. Luis Mochan",
                "y" : 3,
-               "name" : "W. Luis Mochan",
-               "drilldown" : "W. Luis Mochan"
+               "name" : "W. Luis Mochan"
             }
          ],
+         "colorByPoint" : 1,
          "name" : "The Weekly Challenge - 125"
       }
-   ]
+   ],
+   "subtitle" : {
+      "text" : "[Champions: 12] Last updated at 2021-08-15 15:00:37 GMT"
+   },
+   "xAxis" : {
+      "type" : "category"
+   },
+   "legend" : {
+      "enabled" : 0
+   }
 }
diff --git a/stats/pwc-language-breakdown-summary.json b/stats/pwc-language-breakdown-summary.json
index e099e741d3..af1bb6fab6 100644
--- a/stats/pwc-language-breakdown-summary.json
+++ b/stats/pwc-language-breakdown-summary.json
@@ -1,6 +1,6 @@
 {
-   "title" : {
-      "text" : "The Weekly Challenge Contributions [2019 - 2021]"
+   "legend" : {
+      "enabled" : "false"
    },
    "xAxis" : {
       "labels" : {
@@ -13,23 +13,23 @@
    },
    "series" : [
       {
+         "name" : "Contributions",
          "dataLabels" : {
             "align" : "right",
-            "rotation" : -90,
             "format" : "{point.y:.0f}",
-            "color" : "#FFFFFF",
             "enabled" : "true",
-            "y" : 10,
+            "color" : "#FFFFFF",
             "style" : {
-               "fontSize" : "13px",
-               "fontFamily" : "Verdana, sans-serif"
-            }
+               "fontFamily" : "Verdana, sans-serif",
+               "fontSize" : "13px"
+            },
+            "rotation" : -90,
+            "y" : 10
          },
-         "name" : "Contributions",
          "data" : [
             [
                "Blog",
-               1796
+               1797
             ],
             [
                "Perl",
@@ -37,13 +37,13 @@
             ],
             [
                "Raku",
-               3717
+               3719
             ]
          ]
       }
    ],
    "subtitle" : {
-      "text" : "Last updated at 2021-08-13 14:58:19 GMT"
+      "text" : "Last updated at 2021-08-15 15:00:37 GMT"
    },
    "yAxis" : {
       "title" : {
@@ -54,8 +54,8 @@
    "tooltip" : {
       "pointFormat" : "<b>{point.y:.0f}</b>"
    },
-   "legend" : {
-      "enabled" : "false"
+   "title" : {
+      "text" : "The Weekly Challenge Contributions [2019 - 2021]"
    },
    "chart" : {
       "type" : "column"
diff --git a/stats/pwc-language-breakdown.json b/stats/pwc-language-breakdown.json
index 0c0933e562..e2d6e5579d 100644
--- a/stats/pwc-language-breakdown.json
+++ b/stats/pwc-language-breakdown.json
@@ -1,36 +1,10 @@
 {
-   "tooltip" : {
-      "headerFormat" : "<span style=\"font-size:11px\"></span>",
-      "followPointer" : "true",
-      "pointFormat" : "<span style=\"color:{point.color}\">Challenge {point.name}</span>: <b>{point.y:f}</b><br/>"
-   },
-   "yAxis" : {
-      "title" : {
-         "text" : "Total Solutions"
-      }
-   },
-   "plotOptions" : {
-      "series" : {
-         "dataLabels" : {
-            "enabled" : 1,
-            "format" : "{point.y}"
-         },
-         "borderWidth" : 0
-      }
-   },
-   "subtitle" : {
-      "text" : "Click the columns to drilldown the language breakdown. Last updated at 2021-08-13 14:58:19 GMT"
-   },
    "chart" : {
       "type" : "column"
    },
-   "legend" : {
-      "enabled" : "false"
-   },
    "drilldown" : {
       "series" : [
          {
-            "id" : "001",
             "name" : "001",
             "data" : [
                [
@@ -45,7 +19,8 @@
                   "Blog",
                   11
                ]
-            ]
+            ],
+            "id" : "001"
          },
          {
             "name" : "002",
@@ -66,7 +41,6 @@
             "id" : "002"
          },
          {
-            "name" : "003",
             "data" : [
                [
                   "Perl",
@@ -81,7 +55,8 @@
                   9
                ]
             ],
-            "id" : "003"
+            "id" : "003",
+            "name" : "003"
          },
          {
             "data" : [
@@ -98,11 +73,10 @@
                   10
                ]
             ],
-            "name" : "004",
-            "id" : "004"
+            "id" : "004",
+            "name" : "004"
          },
          {
-            "id" : "005",
             "name" : "005",
             "data" : [
                [
@@ -117,10 +91,11 @@
                   "Blog",
                   12
                ]
-            ]
+            ],
+            "id" : "005"
          },
          {
-            "id" : "006",
+            "name" : "006",
             "data" : [
                [
                   "Perl",
@@ -135,9 +110,10 @@
                   7
                ]
             ],
-            "name" : "006"
+            "id" : "006"
          },
          {
+            "id" : "007",
             "data" : [
                [
                   "Perl",
@@ -152,12 +128,10 @@
                   10
                ]
             ],
-            "name" : "007",
-            "id" : "007"
+            "name" : "007"
          },
          {
             "id" : "008",
-            "name" : "008",
             "data" : [
                [
                   "Perl",
@@ -171,10 +145,10 @@
                   "Blog",
                   12
                ]
-            ]
+            ],
+            "name" : "008"
          },
          {
-            "id" : "009",
             "data" : [
                [
                   "Perl",
@@ -189,10 +163,12 @@
                   13
                ]
             ],
+            "id" : "009",
             "name" : "009"
          },
          {
             "name" : "010",
+            "id" : "010",
             "data" : [
                [
                   "Perl",
@@ -206,10 +182,11 @@
                   "Blog",
                   11
                ]
-            ],
-            "id" : "010"
+            ]
          },
          {
+            "name" : "011",
+            "id" : "011",
             "data" : [
                [
                   "Perl",
@@ -223,9 +200,7 @@
                   "Blog",
                   10
                ]
-            ],
-            "name" : "011",
-            "id" : "011"
+            ]
          },
          {
             "data" : [
@@ -242,10 +217,11 @@
                   11
                ]
             ],
-            "name" : "012",
-            "id" : "012"
+            "id" : "012",
+            "name" : "012"
          },
          {
+            "name" : "013",
             "data" : [
                [
                   "Perl",
@@ -260,7 +236,6 @@
                   13
                ]
             ],
-            "name" : "013",
             "id" : "013"
          },
          {
@@ -282,8 +257,8 @@
             "name" : "014"
          },
          {
-            "id" : "015",
             "name" : "015",
+            "id" : "015",
             "data" : [
                [
                   "Perl",
@@ -300,7 +275,7 @@
             ]
          },
          {
-            "id" : "016",
+            "name" : "016",
             "data" : [
                [
                   "Perl",
@@ -315,9 +290,10 @@
                   12
                ]
             ],
-            "name" : "016"
+            "id" : "016"
          },
          {
+            "id" : "017",
             "data" : [
                [
                   "Perl",
@@ -332,12 +308,9 @@
                   12
                ]
             ],
-            "name" : "017",
-            "id" : "017"
+            "name" : "017"
          },
          {
-            "id" : "018",
-            "name" : "018",
             "data" : [
                [
                   "Perl",
@@ -351,7 +324,9 @@
                   "Blog",
                   14
                ]
-            ]
+            ],
+            "id" : "018",
+            "name" : "018"
          },
          {
             "data" : [
@@ -368,8 +343,8 @@
                   13
                ]
             ],
-            "name" : "019",
-            "id" : "019"
+            "id" : "019",
+            "name" : "019"
          },
          {
             "name" : "020",
@@ -390,8 +365,6 @@
             "id" : "020"
          },
          {
-            "id" : "021",
-            "name" : "021",
             "data" : [
                [
                   "Perl",
@@ -405,9 +378,12 @@
                   "Blog",
                   10
                ]
-            ]
+            ],
+            "id" : "021",
+            "name" : "021"
          },
          {
+            "id" : "022",
             "data" : [
                [
                   "Perl",
@@ -422,10 +398,11 @@
                   10
                ]
             ],
-            "name" : "022",
-            "id" : "022"
+            "name" : "022"
          },
          {
+            "name" : "023",
+            "id" : "023",
             "data" : [
                [
                   "Perl",
@@ -439,13 +416,11 @@
                   "Blog",
                   12
                ]
-            ],
-            "name" : "023",
-            "id" : "023"
+            ]
          },
          {
-            "id" : "024",
             "name" : "024",
+            "id" : "024",
             "data" : [
                [
                   "Perl",
@@ -462,7 +437,6 @@
             ]
          },
          {
-            "id" : "025",
             "name" : "025",
             "data" : [
                [
@@ -477,7 +451,8 @@
                   "Blog",
                   12
                ]
-            ]
+            ],
+            "id" : "025"
          },
          {
             "data" : [
@@ -494,8 +469,8 @@
                   10
                ]
             ],
-            "name" : "026",
-            "id" : "026"
+            "id" : "026",
+            "name" : "026"
          },
          {
             "data" : [
@@ -512,10 +487,11 @@
                   9
                ]
             ],
-            "name" : "027",
-            "id" : "027"
+            "id" : "027",
+            "name" : "027"
          },
          {
+            "id" : "028",
             "data" : [
                [
                   "Perl",
@@ -530,10 +506,10 @@
                   9
                ]
             ],
-            "name" : "028",
-            "id" : "028"
+            "name" : "028"
          },
          {
+            "id" : "029",
             "data" : [
                [
                   "Perl",
@@ -548,11 +524,9 @@
                   12
                ]
             ],
-            "name" : "029",
-            "id" : "029"
+            "name" : "029"
          },
          {
-            "id" : "030",
             "data" : [
                [
                   "Perl",
@@ -567,9 +541,11 @@
                   10
                ]
             ],
+            "id" : "030",
             "name" : "030"
          },
          {
+            "name" : "031",
             "data" : [
                [
                   "Perl",
@@ -584,10 +560,11 @@
                   9
                ]
             ],
-            "name" : "031",
             "id" : "031"
          },
          {
+            "name" : "032",
+            "id" : "032",
             "data" : [
                [
                   "Perl",
@@ -601,12 +578,9 @@
                   "Blog",
                   10
                ]
-            ],
-            "name" : "032",
-            "id" : "032"
+            ]
          },
          {
-            "name" : "033",
             "data" : [
                [
                   "Perl",
@@ -621,10 +595,11 @@
                   10
                ]
             ],
-            "id" : "033"
+            "id" : "033",
+            "name" : "033"
          },
          {
-            "name" : "034",
+            "id" : "034",
             "data" : [
                [
                   "Perl",
@@ -639,10 +614,9 @@
                   11
                ]
             ],
-            "id" : "034"
+            "name" : "034"
          },
          {
-            "name" : "035",
             "data" : [
                [
                   "Perl",
@@ -657,10 +631,12 @@
                   9
                ]
             ],
-            "id" : "035"
+            "id" : "035",
+            "name" : "035"
          },
          {
             "name" : "036",
+            "id" : "036",
             "data" : [
                [
                   "Perl",
@@ -674,12 +650,11 @@
                   "Blog",
                   11
                ]
-            ],
-            "id" : "036"
+            ]
          },
          {
-            "id" : "037",
             "name" : "037",
+            "id" : "037",
             "data" : [
                [
                   "Perl",
@@ -696,7 +671,6 @@
             ]
          },
          {
-            "id" : "038",
             "name" : "038",
             "data" : [
                [
@@ -711,7 +685,8 @@
                   "Blog",
                   12
                ]
-            ]
+            ],
+            "id" : "038"
          },
          {
             "id" : "039",
@@ -733,7 +708,6 @@
          },
          {
             "id" : "040",
-            "name" : "040",
             "data" : [
                [
                   "Perl",
@@ -747,11 +721,11 @@
                   "Blog",
                   10
                ]
-            ]
+            ],
+            "name" : "040"
          },
          {
             "id" : "041",
-            "name" : "041",
             "data" : [
                [
                   "Perl",
@@ -765,10 +739,11 @@
                   "Blog",
                   9
                ]
-            ]
+            ],
+            "name" : "041"
          },
          {
-            "id" : "042",
+            "name" : "042",
             "data" : [
                [
                   "Perl",
@@ -783,10 +758,9 @@
                   11
                ]
             ],
-            "name" : "042"
+            "id" : "042"
          },
          {
-            "name" : "043",
             "data" : [
                [
                   "Perl",
@@ -801,9 +775,12 @@
                   11
                ]
             ],
-            "id" : "043"
+            "id" : "043",
+            "name" : "043"
          },
          {
+            "name" : "044",
+            "id" : "044",
             "data" : [
                [
                   "Perl",
@@ -817,12 +794,11 @@
                   "Blog",
                   11
                ]
-            ],
-            "name" : "044",
-            "id" : "044"
+            ]
          },
          {
             "name" : "045",
+            "id" : "045",
             "data" : [
                [
                   "Perl",
@@ -836,8 +812,7 @@
                   "Blog",
                   11
                ]
-            ],
-            "id" : "045"
+            ]
          },
          {
             "name" : "046",
@@ -859,6 +834,7 @@
          },
          {
             "name" : "047",
+            "id" : "047",
             "data" : [
                [
                   "Perl",
@@ -872,10 +848,10 @@
                   "Blog",
                   10
                ]
-            ],
-            "id" : "047"
+            ]
          },
          {
+            "id" : "048",
             "data" : [
                [
                   "Perl",
@@ -890,10 +866,11 @@
                   12
                ]
             ],
-            "name" : "048",
-            "id" : "048"
+            "name" : "048"
          },
          {
+            "name" : "049",
+            "id" : "049",
             "data" : [
                [
                   "Perl",
@@ -907,12 +884,11 @@
                   "Blog",
                   12
                ]
-            ],
-            "name" : "049",
-            "id" : "049"
+            ]
          },
          {
             "name" : "050",
+            "id" : "050",
             "data" : [
                [
                   "Perl",
@@ -926,8 +902,7 @@
                   "Blog",
                   1